The figure below is an isosceles trapezoid. Solve for x.
Note: the figure may not be drawn to scale.
Answers
Answer:
x = 3
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent , then
4x - 1 + 4 = 2x + x + 6 , that is
4x + 3 = 3x + 6 ( subtract 3x from both sides )
x + 3 = 6 ( subtract 3 from both sides )
x = 3
Related Questions
1. What is the side length of Cube B?
2. What is the volume of Cube A?
3. What is the volume of Cube B?
Answers
Answer:
1. 8 cm
2. 64 cm
3. 512 cm
Step-by-step explanation:
The side lengths of cube are 8
The formula for volume is the length*width*height
A-4*4*4
4*4*4=64 cm
B-8*8*8=512 cm
Answer:1. 8 cm2. 64 cm3. 512 cmStep-by-step explanation:The side lengths of cube are 8The formula for volume is the length*width*heightA-4*4*44*4*4=64 cmB-8*8*8=512 cm
which function is increasing on the interval (-∞, ∞)
Answers
Differentiating each function, we have for all x, unless otherwise indicated,
\(h(x) = 2^x - 1 \implies h'(x) = \ln(2) \, 2^x > 0\)
\(g(x) = -4 (2^x) \implies g'(x) = -4 \ln(2) \, 2^x < 0\)
\(f(x) = -3x+7 \implies f'(x) = -3 < 0\)
\(j(x) = x^2 + 8x + 1 \implies j'(x) = 2x + 8 > 0 \text{ only when } x > -4\)
and only h(x) has a strictly positive derivative. (A)
Line j passes through point (2,0) and is perpendicular to the graph of y=1/4x-3. Line k is parallel to line j and passes through point (-1,6). What is the equation in slope-interest form of line k?
Please explain. Thanks
Answers
Answer:
4x+y=6
Step-by-step explanation:
Given the first term and the common ratio of a geometric
sequence find the first five terms and the explicit formula.
a1 = - 4, r = 6
Answers
Answer:
331776
Step-by-step explanation:
The formula for geometric
sequence is given below
ar^n-1
Where a= first term, r= common ratio
From the question, a1 = - 4, r = 6 , n= 5
Then if we substitute, we have
ar^n-1
5th term= ar^n-1
= (-4×6)^(5-1)
=-24 ^ 4
=331776
Hence, the first five terms is =331776
The formula is 5th term= ar^(5-1)
Determine whether ABC are functions:
A. (2,5) (3,7) (-1,4) (0, 6)
B.(-3, 1) (4, 2) (5,-2) (-3,-1)
C. (3,4) (-4, 6) (-1,0) (0,1)
A.
B.
C.
Answers
Answer:
A. Function
B. Not a function
C. function
the length of the diagonal square is...
4 units
4√3 units
4√2 units
8 units
additionally, the area of the square is...
16 square units
16√2 square units
32 square units
does anyone know this???
Answers
The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.
ill mark brainliswt plss help
Answers
Answer:
z = 24
Step-by-step explanation:
35/30 = 7/6
28/7 = 4
6 x 4 = 24
28/24 = 7/6
Answer:
x = 24
Step-by-step explanation:
All you have to do is cross multiply like this..
30 x 28 = 35 x X
=
x = 30 x 28/35
30 x 28 = 840 / 35 =
24
So x is equal to 24
Hope this helps :)
What is the equation of the line that passes through the point (7,-3) and has an undefined slope?
Answers
Answer:
X = 7
Step-by-step explanation:
Any line with a undefined slope is a vertical line, which goes up and down.
Since this is a vertical line, and our x-value is 7, this means that the vertical line has the x-coordinate 7 at all times, making the equation x = 7.
Find the missing term of each arithmetic sequence.... 5, .. , 21,...
Answers
The missing terms of an arithmetic progression (AP) are -3, 5, 13, 21, 29.
What is meant by arithmetic progression (AP)?An arithmetic progression (AP) is a pattern in which each successive term has the same distinctions.
Each term in an arithmetic progression (except the first) is deduced by adding a specific range to the term preceding the first.The following arithmetic progression concepts are most often used to solve various AP problems for the initial term 'a' of an AP together with the common difference 'd.'The most common difference AP is 'd': d = a2 - a1 = a3 - a2 = a4 - a3 =...... = a - an-1. nth term of an AP: an = a + (n - 1) dThe sum of an AP's n terms is; Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the final term of the AP.The arithmetic sequence.... 5, .. , 21,...
There are total 5 terms in the series.
Let the initial term be 'a₁'.
Let the second term be 'a₂' = 5.
Let the third term be 'a₃'.
Let the fourth term is be 'a₄' = 21.
And final, the fifth term be 'a₅'.
The common difference of the AP are same. so,
d = a₃ - a₂ ........(equation 1)
d = a₄ - a₃ .......(equation 2)
Thus, equate the two formed equation;
a₃ - a₂ = a₄ - a₃
Substituting the values;
a₃ - 5 = 21 - a₃
Simplify the above equation;
a₃ = 26/2
a₃ = 13.
Put the value in equation 1 and find the common difference.
d = a₃ - a₂
d = 13 - 5 = 8
So, the first term will be;
d = a₂ - a₁
a₁ = a₂ - d
a₁ = 5 - 8
a₁ = -3
Now, the fifth term will be;
a₅ = a₄ + d
a₅ = 21 + 8
a₅ = 29.
Therefore, the arithmetic sequence of the AP formed as -3, 5, 13, 21, 29.
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Which statement is true of this function?
ƒ(x) = (²) — 2
O A. As the value of x increases, the value
B. The domain of the function is (-2, 00).
OC. The function has a y-intercept at (0,-2).
OD. The function is increasing.
Answers
The statement "As the value of x increases, the value of f(x) moves toward a constant." is true. Option A
What is the function?A relation between a collection of inputs and one output for each of those inputs is the definition of a function.
The given function is;
F(x)=(1/5)^x-2
The statement that is true of this function is as follows;
As the value of x increases, the value of f(x) moves toward a constant.
The domain of the function is (-∞, ∞).The function has a y-intercept at (0,-1).The function is decreasing.Therefore, the assertion that is true about this function is that when the value of x rises, the value of f(x) advances toward a constant. This is because of the way that the function works.
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CQ
Select the correct answer. Which statement is true of this function?
f(x)=(1/5)^x-2
A.
As the value of x increases, the value of f(x) moves toward a constant.
B.
The domain of the function is (-2, ∞).
C.
The function has a y-intercept at (0,-2).
D.
The function is increasing.
( Will give Brainliest and 89 points please helppp
Answers
Answer:
Box B length = 10 in
Step-by-step explanation:
trust me ;)
Answer:
10 that is the answer
Step-by-step explanation:
Anastasia uses the equation p = 0. 7(rh b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h?.
Answers
The equivalent equation was solved for the value of h \(\rm h =\dfrac{P - 0.7b}{0.7r }\).
Given thatAnastasia uses the equation \(\rm p = 0.7(rh + b)\) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received.
We have to determineWhat is an equivalent equation solved for h?
According to the questionAnastasia uses the equation
P = 0.7 (rh + b)
Where; P = take home pay
r = rate (dollars per hour)
h = number of hours worked
b = bonus
Then,
The equivalent equation solved for the value of h;
\(\rm P = 0.7 (rh + b)\\ \\ p = 0.7rh +0.7b\\ \\ p-0.7b=0.7rh\\ \\ \rm h = \dfrac{P - 0.7b}{0.7r }\)
Hence, The equivalent equation was solved for the value of h \(\rm h =\dfrac{P - 0.7b}{0.7r }\).
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Serial box manufacturer change the size of a box to increase the amount of cereal contains the expressions 10+6.3 n and 7 +6.5n where nis the number of smaller boxes are both representative of the amount of cereal that the new larger box contains how many more boxes equal the same amount of cereal in a larger box
Answers
To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.
To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.
Setting the expressions equal to each other:
10 + 6.3n = 7 + 6.5n
Simplifying the equation:
6.3n - 6.5n = 7 - 10
-0.2n = -3
Dividing both sides by -0.2:
n = -3 / -0.2
n = 15
Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.
The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.
To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.
By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.
This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.
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Which expression is equivalent to (x +9i)2?
A. x2 + 18x + 81
B. x2 + 18xi – 81
C. x2 + 9xi +81
D. x2 + 9xi – 81
Answers
in multiple regression analysis, the correlation among the independent variables is termed _____.A) multicollinearityB) linearityC) adjusted coefficient of determinationD) homoscedasticity
Answers
In multiple regression analysis, the correlation among the independent variables is termed multicollinearity
Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.
It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.
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Finding outputs of a two-step function with decimals that models a real-world situation: Function notation
Answers
From the present question, it was already given an equation that gives the amount of credit left as a function of the number of minutes used. Because of it, it only takes to substitute the wanted value, which in the present case is x = 50, in the equation, and perform the calculation, as follows:
\(\begin{gathered} C(x)=50.00-0.08\times x \\ C(50)=50.00-0.08\times50 \\ C(50)=50.00-4.00 \\ \\ C(50)=46.00 \end{gathered}\)From the solution developed above, we are able to conclude that, after 50 minutes of calls, there is a total of 46.00 dollars left.
From this, the answer you will need to type is just 46, or if it needs the cents also, you will type 46.00,
-(10)-1 (. please I am doing a test
Answers
Here is ur answer it is easw
the answer is -(10)-1=-11
. How many ways are there for three penguins and six puffins to stand in a line so that a) all puffins stand together? b) all penguins stand together?
Answers
a) If all puffins stand together, we can consider them as a single group. Therefore, we have four objects - this group of puffins and the three penguins - that can be arranged in 4! ways. Within the group of puffins, the six puffins can be arranged in 6! ways. Therefore, the total number of ways is 4! * 6! = 172,800.
b) Similarly, if all penguins stand together, we can consider them as a single group. Therefore, we have two groups - this group of penguins and the six puffins - that can be arranged in 2! ways. Within the group of penguins, the three penguins can be arranged in 3! ways. The six puffins can be arranged in 6! ways. Therefore, the total number of ways is 2! * 3! * 6! = 43,200.
To solve the problem, we use the concept of permutations. Permutations are arrangements of objects in a certain order. We use the formula n!/(n-r)! to find the number of permutations when we select r objects from n objects.
In part (a), we treat the group of puffins as a single object. Therefore, we have four objects in total. We can arrange them in 4! ways. Within the group of puffins, there are 6! ways to arrange the puffins themselves. Therefore, we multiply the number of arrangements of the puffins by the number of arrangements of the groups of objects to get the final answer.
In part (b), we treat the group of penguins as a single object. We have two groups of objects, which can be arranged in 2! ways. Within the group of penguins, there are 3! ways to arrange the penguins themselves. We multiply all the possibilities to get the final answer.
In conclusion, there are 172,800 ways for the three penguins and six puffins to stand in a line so that all puffins stand together, and 43,200 ways for all penguins to stand together. We used the formula for permutations to solve the problem.
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the length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 5 cm/s. when the length is 15 cm and the width is 13 cm, how fast is the area of the rectangle increasing (in cm2/s)?
Answers
The area of the rectangle is increasing at a rate of 166 cm^2/s when the length is 15 cm and the width is 13 cm.
To find the rate at which the area of the rectangle is increasing, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).
We can differentiate both sides of the equation with respect to time (t) to obtain:
dA/dt = (dl/dt)w + l(dw/dt)
Here, dl/dt is the rate of change of the length, which is given as 7 cm/s, and dw/dt is the rate of change of the width, which is given as 5 cm/s.
We can substitute these values along with the given values of length and width (l = 15 cm and w = 13 cm) to obtain:
dA/dt = (7 cm/s)(13 cm) + (15 cm)(5 cm/s)
dA/dt = 91 cm^2/s + 75 cm^2/s
dA/dt = 166 cm^2/s
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If -3(x+8)= -21, then x = -1.
Answers
Step-by-step explanation:
-3(x+8)=-21
open the bracket
-3x-24=-21
-3x=-21+24
-3x=3
x=-3/3
x=-1
a roulette wheel has 18 reds, 18 blacks, and 2 greens. if the ball lands on red, you win and if it lands on another color, you lose. you play roulette 100 times in a row and count how many times you win. what is the expected value of the number of wins? express your answer as a decimal, fraction, or simple mathematical expression. your fraction does not need to be reduced. if your answer is in decimal, make sure to include at least 3 non-zero digits after the decimal point.
Answers
The expected value can be count by using probability, In this case the expected value of the number of wins is 900/19 or 47,368
From the question, we got information of the wheel color and total roulette will be played.
Number of reds balls : 18
Number of black balls : 18
Number of green balls : 2
Total number of balls : 18 + 18 + 2 = 38
Total roulette will be played 100 times
First step, calculate the probability of reds or win would be picked for the roulette. Probability of winning can be calculated by total of reds balls divided by total number of balls:
total number of reds/total number of balls = 18/38 = 9/19
Second step, calculate the expected value of the number of wins. Expected value of the number of wins can be calculated by multiply the probability and total roulette will be played:
probability x total roulette will be played = 9/19 x 100 = 900/19 = 47,368
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Shaun rides his bike at a speed
of 19 miles per hour. How far, in miles, does Shaun travel in 25 minutes when rounded to the nearest hundredth?
Answers
Shaun travels 7.92 miles in 25 minutes when rounded to the nearest hundredth.
To find the distance traveled by Shaun, we can use the formula:
distance = speed x time
Converting 19 miles per hour to miles per minute, we get:
19 miles/hour = 0.3167 miles/minute
Then, we can plug in the values:
distance = 0.3167 miles/minute x 25 minutes
distance = 7.9175 miles
Rounding to the nearest hundredth, we get 7.92 miles. Therefore, Shaun travels 7.92 miles in 25 minutes when rounded to the nearest hundredth.
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Ken charges his neighbors $17.00 to wash their car. How many cars must he wash next summer if his goal is to earn at least$1800?
Answers
Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:
\(17x=1800.\)Solving the above equation for x, we get:
\(x=\frac{1800}{17}.\)Rounding up to the nearest whole number we get:
\(x\approx106.\)Answer: \(106.\)which of the following does 6/7 x 3/5 equal?
18/32
18/35
18/33
Answers
Answer:18/35
Step-by-step explanation: 6*3 = 18
7*5 = 35
18 /35
Answer: 18/35
Step-by-step explanation:
6*3=18
7*5=35
18/35
Convert 1,900 centimeters to meters meters
Answers
Answer:
19
Step-by-step explanation:
1 m = 100 cm or 0.01 m = 1 cm
1900/100=19
Answer:
when you convert 1900 cm to meters, you'll get 19
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student who does not have a brother
has a sister?
Has a sister
Does not have a sister
Has a brother Does not have a brother
5
2
18
4
Answers
A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.
Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now
has a sibling: 5
possesses no sisters: 2
has an 18-year-old brother
possesses no brothers: 4
We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.
No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.
As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:
Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.
Probability equals 2/4
Probability equals 0.5 or half.
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A ski resort charges Susan a flat fee of $65 to rent skis. It also charges her a daily rate of $22 for a ski lift pass to get skiers back up the mountain. Let d = the number of days a ski lift pass is rented. If Susan is
charged $175, which equation represents her situation?
Answers
Answer:
65+22d=175
Step-by-step explanation:
What is the value of x, given that AE || BD?
Answers
Answer:
options number 1 is the answer
What is the range of this data set? {43, 17, 12, 17, 19, 11, 17, 20, 30} 13 17 32 I don't know.
Answers
Answer:
Range is 32
Step-by-step explanation:
11,12,13,17,17,17,17,19,20,32,43
43-11 = 32
Answer:17
Step-by-step explanation:took the test
Micah is planning a road trip. He estimates that he will drive a total of of 7 hours. He wants to stop for gas after ⅓ of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.
Answers
Answer:
After 2 1/3 hours.
Step-by-step explanation:
For this you have to calculate how much hours is 1/3 of 7 hours. The word 'of' implies a multiplication function.
1/3 * 7 = 7/3 = 2 1/3